GCD of 657, 666, 699 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 657, 666, 699 quickly. Get the easiest ways to solve the greatest common divisor of 657, 666, 699 i.e 3 in different methods as follows.
Given Input numbers are 657, 666, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (657, 666, 699) = 3.
Given numbers are 657, 666, 699
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 657, 666, 699 is 3.
Steps to Calculate GCD of 657, 666, 699 using LCM Formula
Given numbers are 657, 666, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 666) = 48618
GCD(657, 666) = ( 657 x 666 ) / 48618
= 657 / 666
= 657
Step2:
LCM(9, 699) = 2097
GCD(9, 699) = ( 9 x 699 ) / 2097
= 9 / 699
= 9
So, Greatest Common Divisor of 657, 666, 699 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 657, 666, 699
Given numbers are 657, 666, 699
The greatest common divisor of numbers 657, 666, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 666, 699 is 3.
FAQs on GCD of 657, 666, 699 Calculator
1. What is the GCD of 657, 666, 699?
GCD of given numbers 657, 666, 699 is 3
2. How to calculate the greatest common divisor of 657, 666, 699?
We can find the highest common divisor of 657, 666, 699 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 657, 666, 699 i.e 3.
3. How can I use the GCD of 657, 666, 699Calculator?
Out the numbers 657, 666, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.